Section 2.7 Station Review DO NOT WRITE ON THIS!
1) Find the following for this data on average temperature and rainfall for eight months in Boston, MA.
Temp ( ℉)
Average Temperature and Rainfall in Boston
29 30 39 48 58 68 73 72
Rainfall (mm) 95 91 100 93 84 79 73 92
A. What is the correlation coefficient, r? Is it a strong or weak correlation? Explain.
B. What is the equation of the line of best fit? Let Temperature be the independent variable.
C. Describe the relationship between temperature and rainfall in words.
D. Predict the temperature when the rainfall is 86 mm. How accurate do you think your prediction is?
2) Here are the number of teachers and the number of students at a randomly selected sample of high schools in a city.
Teachers and Students at Selected Schools
Teachers
Students
92
1050
52
653
114
753
49
381
110
1312
62
813
76
496
84
910
A. Find the correlation coefficient. Is it a strong or a weak correlation?
B. What is the equation of the line of best fit? Let independent variable be teachers.
C. Predict the number of teachers in a high school that has 600 students. How accurate do you think your prediction is?
3) Hummingbird wing beat rates are much higher than those in other birds. Estimates for various species are given in the table.
Mass (g)
Wing Beats (per sec)
Hummingbird Wing Beats
3.1
60
2.0
85
3.2
50
4.0
45
3.7
55
1.9
90
4.5
40
A. What is the correlation coefficient? Is it a strong or a weak one? Explain
B. What is the equation of the line of best fit?
C. Using your equation, predict the wing beats rate for a Giant Hummingbird with a mass of 19g. How accurate do you think your prediction is?
Section 2.7 Station Review DO NOT WRITE ON THIS!
1) Find the following for this data on average temperature and rainfall for eight months in Boston, MA.
Average Temperature and Rainfall in Boston
Temp ( ℉) 29
Rainfall (mm) 95
30
91
39
100
48
93
58
84
68
79
73
73
72
92
A. What is the correlation coefficient, r? Is it a strong or weak correlation? Explain.
B. What is the equation of the line of best fit? Let Temperature be the independent variable.
C. Describe the relationship between temperature and rainfall in words.
D. Predict the temperature when the rainfall is 86 mm. How accurate do you think your prediction is?
2) Here are the number of teachers and the number of students at a randomly selected sample of high schools in a city.
Teachers
Teachers and Students at Selected Schools
92 52 114 49 110 62 76 84
Students 1050 653 753 381 1312 813 496 910
A. Find the correlation coefficient. Is it a strong or a weak correlation?
B. What is the equation of the line of best fit? Let independent variable be teachers.
C. Predict the number of teachers in a high school that has 600 students. How accurate do you think your prediction is?
3) Hummingbird wing beat rates are much higher than those in other birds. Estimates for various species are given in the table.
Mass (g)
Wing Beats (per sec)
Hummingbird Wing Beats
3.1
60
2.0
85
3.2
50
4.0
45
3.7
55
1.9
90
4.5
40
A. What is the correlation coefficient? Is it a strong or a weak one? Explain
B. What is the equation of the line of best fit?
C. Using your equation, predict the wing beats rate for a Giant Hummingbird with a mass of 19g. How accurate do you think your prediction is?

Section 2.7 Station Review DO NOT WRITE ON THIS!